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Finding the Fourth Proportional to 8,158.41, 12,239.64 and 2,315.07

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Solution

The fourth proportional to 8,158.41, 12,239.64 and 2,315.07 is: 3,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.41 : 12,239.64 = 2,315.07 : x
  2. Step 2: Convert to fraction form
    8,158.41/12,239.64 = 2,315.07/x
  3. Step 3: Cross multiply
    8,158.41x = 12,239.64 × 2,315.07
  4. Step 4: Simplify right side
    8,158.41x = 28,335,623.37
  5. Step 5: Solve for x
    x = 28,335,623.37/8,158.41
  6. Step 6: Final answer
    x = 3,473.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.